Teaching

These are the course notes for my Fall 2017 PDE course: PDF file. 104 pages. Still incomplete. Use with caution.

Currently I teach at SUNY Albany. In Spring 2018 I'll be teaching a course on measure theory and a course on ODEs. The course websites are on Blackboard.

I have previously taught at Caltech, the University of Chicago, Rutgers, and UC Berkeley.

I have also been a College Fellow at the University of Chicago, mentored by Professors Murthy and Kissin, and served as an Assistant Instructor at Princeton for Drs. Mitchener and Stalker.

Courses I have taught include the standard Calculus sequence, Vector Calculus, an Introduction to Mathematical Reasoning course, Discrete Probability, Mathematics in the Physical Sciences, Real Analysis, ODE, and PDE courses.

Earlier work

My Ph.D. thesis, written under the advice of Professor Wilhelm Schlag:PDF file
Also see the 2008–2012 publications on the list above.

The following is a paper submitted to SICON in 2005. It is the generalization of my UAIC undergraduate thesis to arbitrarily many dimensions. Posted here is a revised version from 2007 that takes into account the referees' remarks:PDF file

The second was done under the supervision of Professor Peter Sarnak.
It provides a computational confirmation of the Taniyama-Shimura
conjecture, for non-integer primes in Z[i] of norm up to 45,000.PDF file